Inequivalent quantizations and fundamentally perfect spaces

Details Inequivalent quantizations and fundamentally perfect spaces Inequivalent quantizations and fundamentally perfect spaces

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..60..481i&link_type=abstract

Physical Review Letters, Volume 60, Issue 6, February 8, 1988, pp.481-483

Physics

8

Quantum Mechanics, Classical And Semiclassical Techniques

Scientific paper

We investigate the problem of inequivalent quantizations of a physical system with multiply connected configuration space X. For scalar quantum theory on X we show that state vectors must be single valued if and only if the first homology group H1(X) is trivial, or equivalently the fundamental group π1(X) is perfect. The θ structure of quantum gauge and gravitational theories is discussed in light of this result.

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